A unified solution for vibration analysis of moderately thick, functionally graded rectangular plates with general boundary restraints and internal line supports

ABSTRACT

The objective of this article is to present a Fourier-Ritz method-based solution approach for the free vibration analysis of moderately thick, functionally graded (FG) rectangular plates with general boundary restraints and internal line supports. Under the current framework, regardless of boundary conditions, each of the displacements and rotations of the FG plates is invariantly expressed as a modified Fourier series in both directions. Then, the accurate solutions are obtained using the Ritz procedure based on the energy function of the plates. The convergence and accuracy of the present method are verified by a considerable number of convergence tests and comparisons.

KEYWORDS:

• Fourier-Ritz method
• free vibration
• functionally graded rectangular plates
• general boundary restraints
• internal line supports

Acknowledgments

The authors would like to thank the anonymous reviewers for their valuable comments.

Funding

The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (No. 51209052).